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Finding the Third Proportional to 20,677.78 and 44,855.16

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Solution

The third proportional to 20,677.78 and 44,855.16 is: 97,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,677.78 : 44,855.16 = 44,855.16 : x
  2. Step 2: Convert to fraction form
    20,677.78/44,855.16 = 44,855.16/x
  3. Step 3: Cross multiply
    20,677.78x = 44,855.16 × 44,855.16
  4. Step 4: Simplify right side
    20,677.78x = 2,011,985,042.21
  5. Step 5: Solve for x
    x = 2,011,985,042.21/20,677.78
  6. Step 6: Final answer
    x = 97,301.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.